Anscombe is a surname. Notable people with the surname include:
Edmund Anscombe (1874–1948), New Zealand architect Frank Anscombe (1918–2001), British statistician G. E. M. Anscombe (1919–2001), British analytic philosopher Gareth Anscombe (born 1991), Wales rugby union player John Anscombe (1838–1881), English cricketer Mark Anscombe (born 1957), New Zealand rugby union coach Mike Anscombe, Canadian television news anchor